Composite vortices in nonlinear circular waveguide arrays

Daniel Leykam, Boris Malomed, Anton S. Desyatnikov

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

It is known that, in continuous media, composite solitons with hidden vorticity, which are built of two mutually symmetric vortical components whose total angular momentum is zero, may be stable while their counterparts with explicit vorticity and nonzero total angular momentum are unstable. In this work, we demonstrate that the opposite occurs in discrete media: hidden vortex states in relatively small ring chains become unstable with the increase of the total power, while explicit vortices are stable, provided that the corresponding scalar vortex state is also stable. There are also stable mixed states, in which the components are vortices with different topological charges. Additionally, degeneracies in families of composite vortex modes lead to the existence of long-lived breather states which can exhibit vortex-charge flipping in one or both components.

Original languageEnglish
Article number044016
JournalJournal of Optics (United Kingdom)
Volume15
Issue number4
DOIs
Publication statusPublished - Apr 2013

Keywords

  • cross phase modulation
  • discrete vortex
  • hidden vorticity
  • linear stability

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics

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